Dmitriy Zanin

most citedErgodic Volterra Quadratic Transformations of Symplex

1 citations · 1 across the 2 of their papers we have counts for

collaborators

8 papers

math.OA2016

Krein's trace theorem revisited

Denis Potapov, Fedor Sukochev, Dmitriy Zanin

We supply the first proof of Krein's Trace Theorem which does not use complex analysis. Our proof holds for~ $σ$ -finite von Neumann algebras $M$ of type II and unbounded p…

math.FA2016

Singular traces and perturbation formulae of higher order

Denis Potapov, Fedor Sukochev, Aleksandr Usachev +1

Let $H, V$ be self-adjoint operators such that $V$ belongs to the weak trace class ideal. We prove higher order perturbation formula $$τ\big(f(H+V)-\sum_{j=0}^{n-1}\frac{1}{j!}\fra…

math.OA2016★ 1 cited

Banach limits and traces on $L_{1, \infty}$

Evgenii Semenov, Fedor Sukochev, Aleksandr Usachev +1

We introduce a new approach to traces on the principal ideal $L_{1, \infty}$ generated by any positive compact operator whose singular value sequence is the harmonic sequen…

math.PR2016★ 1 cited

Johnson-Schechtman inequalities for noncommutative martingales

Yong Jiao, Fedor Sukochev, Dmitriy Zanin +1

In this paper we study Johnson-Schechtman inequalities for noncommutative martingales. More precisely, disjointification inequalities of noncommutative martingale difference sequen…

math.OA2016

Fubini theorem in noncommutative geometry

Fedor Sukochev, Dmitriy Zanin

We discuss the Fubini formula in Alain Connes' noncommutative geometry. We present a sufficient condition on spectral triples for which a Fubini formula holds true. The condition i…

math.PR2016★ 1 cited

$Φ$ -moment inequalities for independent and freely independent random variables

Yong Jiao, Fedor Sukochev, Guangheng Xie +1

This paper is devoted to the study of $Φ$ -moments of sums of independent/freely independent random variables. More precisely, let $(f_{k})_{k = 1}^{n}$ be a sequence of positive (symmetr…